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This mapping is represented by Equation (1).
Therefore, it would be useful to use a large parameter α ( ∈ ( 0, 1 ) ) when a strongly nonexpansive mapping is represented by ( 1 − α ) I + α T. Theorem 3.1 has the following consequences.
However, since in graphics the incident and reflected lights are all distributed on an upper hemisphere, it requires a large number of coefficients to handle the discontinuities at the boundary of the hemisphere when the mapping is represented with basis defined on a full sphere [34].
Edges have mapping-dependent meanings, for example, in the 'Linked Pathway Integration' mapping (Table 1): this mapping is represented by an overview graph with a node for each pathway and edges represent substances appearing in two different pathways [overview graphs are defined and explained in Klukas and Schreiber (2007)].
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QTLs detected by single point analysis and interval mapping were represented to the right of the chromosome.
In the 'true' physical problem we assume 𝕏 = L∞ but in a practical implementation the solution and forward mapping are represented in discrete vector spaces where A h : ℝ n → ℝ m is a linear or non-linear operator.
The regime map is represented in terms of non-dimensional superficial Reynolds numbers of both the phases to account for pipe diameter, flow rate and fluid viscosity.
The SLAM approach presented here is feature-based, thus the map is represented by a set of 3D landmarks each one defined by a global position in space and a visual descriptor.
The world map is represented by a pyramid of tiles.
The deformation field map is represented as a linear combination of the motion components extracted by principal component analysis from the prior 4D-MRI.
For the authors' purpose, the map is represented as a graph where each node is a junction and the links are "polylines" representing the curvature of each link [6].
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